X f(x) 0,0 1,0 0,5 1,0 15 20 2,119 2,910 3945 3,945 5,72 2,5 8,695

Q: What is the main condition in polynomial interpolation?

A: Interpolation polynomial: A polynomial Px is called an interpolating polynomial if the value of Px…

Q: can this be solved with a Z table please?

A: Yes, the questions can be solved using a Z table, please find the work below with the attached Z…

Q: Give three numerical examples of quadratic functions

A: To give three numerical examples of quadratic functions

Q: find the quadratic polynomial whose zeores are (I) 3,-4 (ii) 2,1

A: Given problem is : find the quadratic polynomial whose zeroes are (I) 3,-4 (ii) 2,1

Q: Explain the other notation which is commonly used for ak in the Newton form of the interpolating…

A: The Newton interpolation polynomial are calculated as: \

Q: Calculate B(5,2) if B (a,r) = 2ar+r^3

A: I have to calculate B(5,2) It is given that B(a,r) = 2ar+r3

Q: ind a polynomial p(x) with zeros as -2,-3,1,3 ?

A: To find a polynomial p(x) with zeros as -2,-3,1,3

Q: Find a polynomial that interpolates the following data points: (-1, −10), (1, 6), (2, 5).

A:

Q: Explain the problems with the Lagrange form of the interpolating polynomial?

A: Lagrange polynomials are used for polynomial interpolation.

Q: Show that x2 - 4 is a factor of x* – 5x3 + 2x2 + 20x – 24.

A:

Q: Find the meteix A of the Lineak teansfoRmati on foom IRto IR . 2. given by x2

A:

Q: What is the vertex of the quadratic, 3x - 12x - 1 = f (x) O (4.082,0) O (2, -13) (3,1) O (4,-1)

A: Given, The quadratic expression fx = 3x2-12x-1 We have to find its vertex.

Q: 32,250+4,600x 2. C(x): gives the yearly cost of electricity of a household appliance. Find the…

A: We have to find

Q: (10x-19) (3r + 2) (5x-3)

A: We will use the exterior angle property of a triangle that states that an exterior angle is equal to…

Q: Find the polynomials connecting the points (0,1), (1,3), and (2,13) ​​by quadratic interpolation.

A:

Q: Find the polynomial that interpolates the points (-2,4), (-1,0), (2,-1), (2.5,0), (3,1), (4, 2). Use…

A:

Q: The profit for the sale of Starbucks Christmas blend coffee is give by the function P(x) = -2x^2 +…

A:

Q: The best-fit quadratic is y = (round your coefficients to 2 decimal places)

A: Input 3 6 8 9 10 Output 79 51 -18 -57 -88

Q: Find a polynomial that interpolates (−1,0), (0, 2), (1, 1), (2, 2) using the Newton form.

A: x-1012f(x) 0212We have to find a polynomial using the newton form.

Q: Which function does not classify as a polynomial? a) y=-3 b) 5x^1/2 c) y=2x^2 -1 d) -2x^7

A:

Q: S x³√x²-7dx X X 3

A:

Q: A once-popular children's doll is slowly declining in popularity. The quartic function f(x) = -…

A:

Q: Find the interpolating polynomial of degree at most 2 that passes through the points (-2, 14), (1,…

A: Using Lagrange interpolating polynomial.

Q: Find a polynomial that fits the point

A:

Q: Which function is not quadratic? (O Ax) = (6x+ 9) -9 ()-x(x-9)(6x + 8) U Ax) = 7x + 8 Ax) = 6(x- 9)2

A: We have to check

Q: Find a value for c so that the polynomial y^2+10y+c factors to (y+5)2.

A:

Q: A polynomial which goes through the point (1,4) and has zeros at x=0,x=3 and x=-2

A: Given:A polynomial pass through the point (1,4) and has zeroes at x=0, x=3 and x=-2.

Q: Vx4 +1 = 3x

A: To solve the above equation

Q: max F(x1 ,x2) = x,x3 subject to 6xỉ + 3x = 72

A: Let the given function be  F(x1,x2)=x1x22    ….(1) and  G(x1,x2)=6x12+3x22-72=0    …(2) From…

Q: how to find the polynomial interpolant of the data points: (3,4) (5,80) (7,188)?

A: